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Developing an Analytical Model for the Temperature Dependence of Thermal Expansion Coefficient

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Abstract:

Since the thermal expansion affects seriously the thermodynamic properties of the materials, a firm understanding and description of the thermal expansion phenomena are of primordial importance in any field of materials science. In the present study, an analytical model for the thermal expansion coefficient is developed based on a parametrized form of the interatomic potential and a modified Debye model for the distribution of atomic oscillations. In the model, it is hypothesized that the effect of anharmonicity can be incorporated through a variation of the Debye temperature. The deduced analytical expression indicates that the thermal expansion coefficient consists of a Debye-like component plus additional terms. The functional form of the derived expressions seems to grasp the gross trend of experimental observations. In view of this character, the derived analytical expression is promising, because it could be applied and extended to analyze the thermal expansion coefficient of different materials.

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Periodical:

Advances in Science and Technology (Volume 180)

Pages:

131-136

DOI:

https://doi.org/10.4028/p-4sAbYA

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Cite this paper

Online since:

July 2026

Authors:

Masaru Aniya*

Keywords:

Analytical Model, Anharmonicity, Debye Temperature, Metallic Glasses, Thermal Expansion Coefficient

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© 2026 Trans Tech Publications Ltd. All Rights Reserved

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* - Corresponding Author

References

[1] C. Kittel: Introduction to Solid State Physics (John Wiley, New York, 1996).

Google Scholar

[2] V.A. Drebushchak: J. Therm. Anal. Calorim. 142 (2020) 1097.

Google Scholar

[3] C. Bauer, R. Richert, R. Böhmer, T. Christensen: J. Non-Cryst. Solids 262 (2000) 276.

Google Scholar

[4] D.L. Sidebottom: Fundamentals of Condensed Matter and Crystalline Physics (Cambridge U. P., Cambridge, 2012).

Google Scholar

[5] H. Kato, H.-S. Chen, A. Inoue: Scripta Mater. 58 (2008) 1106.

Google Scholar

[6] H. Ullmann, N. Trofimenko, F. Tietz, D. Stöver, A. Ahmad-Khanlou: Solid State Ionics 138 (2000) 79.

DOI: 10.1016/s0167-2738(00)00770-0

Google Scholar

[7] S. Taniguchi, M. Aniya: J. Phys. Soc. Jpn. 79 (2010) Sup. A, 106.

Google Scholar

[8] S. Taniguchi, M. Aniya: Integr. Ferroelec.115 (2010) 18.

Google Scholar

[9] A.K. Gangopadhyay, C.E. Pueblo, K.F. Kelton: Phys. Rev. Mater. 4 (2020), 095602.

Google Scholar

[10] P. Lunkenheimer, A. Loidl, B. Riechers, A. Zaccone, K. Samwer: Nature Phys. 19 (2023) 694.

DOI: 10.1038/s41567-022-01920-5

Google Scholar

[11] N.W. Ashcroft, N.D. Mermin: Solid State Physics (Holt, Rinehart and Winston, Philadelphia, 1976).

Google Scholar

[12] T. Yukitake, M. Aniya: Presented at 9th Intern. Conf. Mater. Eng. Nanotech., ICMEN-2025.

Google Scholar

[13] H. Inaba, H. Tagawa: J. Ceram. Soc. Jpn. 106 (1998) 272.

Google Scholar

[14] A.R. Ruffa: Phys. Rev. B 16 (1977) 2504.

Google Scholar

[15] W.H. Wang, P. Wen, D.Q. Zhao, M.X. Pan, R.J. Wang: J. Mater. Res. 18 (2003) 2747.

Google Scholar

[16] Y. He, R.B. Schwarz, D.G. Mandrus: J. Mater. Res. 11 (1996) 1836.

Google Scholar

[17] G. Jing, B. Xiufang, L. Tao, Z. Yan, T. Li, Z. Bo, S. Baoan: Intermet. 15 (2007) 929.

Google Scholar

[18] M. Bouafia, H. Sadat: Intern. J. Thermophys. 41 (2020) 84.

Google Scholar

[19] K. Wang, R.R. Reeber: J. Phys. Chem. Solids 56 (1995) 895.

Google Scholar

[20] A. Raimondo, A. Mandanici, M.A. Ramos, J.G. Rodrigo, C. Armellini, M. Cutroni, S. Vieira: Phil. Mag. 88 (2008) 3973.

Google Scholar

[21] B.D. Sirdeshmukh, L. Sirdeshmukh, K.G. Subhadra: Alkali Halides, A Handbook of Physical Properties (Springer, Berlin, 2001).

DOI: 10.1007/978-3-662-04341-7_2

Google Scholar